一类非线性分数阶微分方程多点积分边值问题解的存在性

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一类非线性分数阶微分方程多点积分边值问题解的存在性张福珍¹, 刘文斌², 王刚²1. 九州职业技术学院高等数学教研室, 徐州 221116;
2. 中国矿业大学数学学院, 徐州 221116 Existence of Solutions for Nonlinear Differential Equations of Fractional Orders Boundary Value Problem with Multi-point Integral Boundary Conditions ZHANG Fuzhen¹, LIU Wen-bin², WANG Gang²1. Advanced Mathematics Teaching and Research Office, Jiuzhou Polytechnic, Xuzhou 221116, China;
2. School of Mathematics, China University of Mining and Technology, Xuzhou 221116, China

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摘要本文研究非线性分数阶积分边值问题

解的存在性，其中D₀₊^α+I₀₊^α分别是标准的Riemann-Liouville型分数阶导数和积分，利用不动点定理得到该边值问题解的存在性和唯一性结果，并举例验证了结果的合理性.

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收稿日期: 2011-11-23

PACS:

O175.8

基金资助:国家自然科学基金（11271364）资助项目

引用本文:

张福珍, 刘文斌, 王刚. 一类非线性分数阶微分方程多点积分边值问题解的存在性[J]. 应用数学学报, 2017, 40(2): 229-239. ZHANG Fuzhen, LIU Wen-bin, WANG Gang. Existence of Solutions for Nonlinear Differential Equations of Fractional Orders Boundary Value Problem with Multi-point Integral Boundary Conditions. Acta Mathematicae Applicatae Sinica, 2017, 40(2): 229-239.

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